Dirac/Weyl materials

Dirac/Weyl equation emerges at sub-eV low-energy scales in some solids. In 2D space eminent example is graphene. In 3D materials having Dirac cone in their spectrum, the wave function is a four-component spinor. We are interested in the interplay of superconductivity with various properties of Dirac/Weyl materials, collective excitations in such systems and many-body effecs and/or disorder in Dirac/Weyl materials. 

Majorana physics and disorder

Majorana zero modes being their own anti-particles can be realized in certain condensed matter systems. The requirement to stick to zero-energy bestows them fascinating properties such as: (i) The RG equations can be transformed into a geometric progressin, (ii) they show resilience behavior against disorder. We are interested in learning their role in dephasing and scrambling and out of time order correlators.